DIRECTION: Please provide a step-by-step and clear solution to each of the problems below. Z 4) Show that (7.a)² = a² 1₂, where ở = σ¸î + σ¸ĵ + σ₂â‚ ā = a¸î + ayĵ + a₂î, and 1₂ is the usual 2 and oz x 2 identity matrix. Further, the components ax, ay, and a are constants, and σx, y, are the Pauli spin matrices given in the previous item, Item 3.
DIRECTION: Please provide a step-by-step and clear solution to each of the problems below. Z 4) Show that (7.a)² = a² 1₂, where ở = σ¸î + σ¸ĵ + σ₂â‚ ā = a¸î + ayĵ + a₂î, and 1₂ is the usual 2 and oz x 2 identity matrix. Further, the components ax, ay, and a are constants, and σx, y, are the Pauli spin matrices given in the previous item, Item 3.
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Transcribed Image Text:DIRECTION: Please provide a step-by-step and clear solution to each of the problems below.
Z
4) Show that (7.a)² = a² 1₂, where ở = σ¸î + σ¸ĵ + σ₂â‚ ā = axî + ayĵ + a₂î, and 1₂ is the usual 2
and oz
x 2 identity matrix. Further, the components ax, ay, and a are constants, and σx, y,
are the Pauli spin matrices given in the previous item, Item 3.
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